## Bharat Gupta is teaching live on Unacademy Plus

Base System Problems part 4

All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will The number 35A246772 is in base 9. This number when written in base rounts diaitin hoh bas10 is divisible by 8. Find the value of digit A. and base 7 notations? a. 143 b. 200 C. 157 d. 122 b. 4 c. 5 d. 6 The number (2324 X 1012)7 is converted to base 10 and then How many two digits numbers in base 9 get reversed when written in base 7 divided by 6. It leaves no remainder. What could be the value of X? a. 0 d. e. no such number possible b. 2 C. 3 d. 5 Given below is a sequence of all the natural1, 2, 3, 4, 10.11, 12. 13, 14 20, 21 22, 23, 24 w numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21,. What is the 200th term of this sequence? a. 343 are the consecutive numbers written in base 5 The twenty fifth number in the above sequence would be: a. 52 c. 25 b. 100 d. None of these b. 242 c. 235 d. 265

All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations? a. 143 b. 200 c. 157 d. 122

All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations? a. 143 b. 200 c. 157 d. 122 So we hove fo Calmate wo Lol uV 23+28-4=SF =

The number 35A246772 is in base 9. This number when written in base 10 is divisible by 8. Find the value of digit A a. 3 b. 4 C. 5 d. 6

The number 35A246772 is in base 9. This number when written in base 10 is divisible by 8. Find the value of digit A a. 3 b. 4 C. 5 d. 6 (4372 I 3), divby S, whan convedid -fo hue lo 2. 5 Bun

The number 35A246772 is in base 9. This number when written in base 10 is divisible by 8. Find the value of digit A a. 3 b. 4 C. 5 d. 6 toi

The number (2324 X 1012)7 is converted to base 10 and then divided by 6. It leaves no remainder. What could be the value of X? a. 0 c. 3 d. 5

The number (2324 X 1012)7 is converted to base 10 and then divided by 6. It leaves no remainder. What could be the value of X? a. 0 c. 3 d. 5 -6

How many two digits numbers in base 9 get reversed when written in base 7. a. 1 b. 4 C. 2 d. 3 e. no such number possible